# Specific heat capacity

The specific heat capacity of a substance is defined as the quantity of heat required to raise the temperature of a unit mass of substance, through the a degree rise in temperature.( 1^{o}C of 1k) . The quantity of heat received by the substance is directly proportional to the mass, change in temperature and the nature of material. That is

Q = quantity of heat, and m = unit mass, from the equation above specific heat capacity can be given as

The unit of Jkg^{-1}k^{-1},

Substance and their specific heat capacity in Jkg^{-1}K-^{1}

**Lead =130 Mercury = 140 Brass = 380 Zinc = 380 Copper = 400Iron = 450, Glass = 670 ,**

** Aluminum = 900, Ice = 2100, methylated spirit= 2400, Sea water =3900, Water =4200**

# Heat capacity

It is being defined as the quantity of heat required to raise the temperature through one degree rise in temperature. It is give as

h = cm, where h = heat capacity, c = specifics heat capacity and m = the entire mass of the body. The unit is also in JKg-^{1}K^{-1}

Example1. Calculate the mass of iron with heat capacity of 900JKg^{-1}K^{-1},

Solution, using h = cm

M = h/c but h = 900JKg^{-1}K^{-1}, c = 450JKg-^{1}K-^{1} then,

Example2, What quantity of heat is needed to raise the temperature of 20kg of aluminium through 10k

#### Solution, using **Q = cm (Ѳ2-Ѳ1)**

But c = 900JKg^{-1}K^{-1}, m = 20kg and (Ѳ2-Ѳ1) = 10K therefore,

Example 3, What is the heat capacity of 20kg of brass.

Solution, Using h = cm, where h = heat capacity, c = specific heat capacity of brass = 380JKg^{-1}K^{-1}, and = 20kg

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